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27 Dec 2025, 06:19
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55% < 140 mins/day
So, 45% >= 140 mins/day
69% > 90 mins/day
So, 31% <= 90 mins/day
21% = 90 mins/day
Hence, <90 mins/day = 10%
7% = 92 mins/day
7% = 115 mins/day
7% = 138 mins/day
7% = 140 mins/day
Putting them we get
<= 90mins/day = 31%
+92mins/day = 38%
+115mins/day = 45%
+138mins/day = 52%
We still have 3% to accommodate as <140mins/day = 55%
However, it cannot be <=90% so we remove that part. We have to accommodate the extra 3% between 91% and 139% (considering integers for ease)
If we put the 3% between 91mins/day and 137mins/day the possible extension that can happen towards 50% would be of 115min/day. Even then the cumulative percentage would raise to 48%. This would still not cross the 50% mark. Hence the median would be between 115 and 139.
The only possible value is 138mins/day from the given options
Option D
So, 45% >= 140 mins/day
69% > 90 mins/day
So, 31% <= 90 mins/day
21% = 90 mins/day
Hence, <90 mins/day = 10%
7% = 92 mins/day
7% = 115 mins/day
7% = 138 mins/day
7% = 140 mins/day
Putting them we get
<= 90mins/day = 31%
+92mins/day = 38%
+115mins/day = 45%
+138mins/day = 52%
We still have 3% to accommodate as <140mins/day = 55%
However, it cannot be <=90% so we remove that part. We have to accommodate the extra 3% between 91% and 139% (considering integers for ease)
If we put the 3% between 91mins/day and 137mins/day the possible extension that can happen towards 50% would be of 115min/day. Even then the cumulative percentage would raise to 48%. This would still not cross the 50% mark. Hence the median would be between 115 and 139.
The only possible value is 138mins/day from the given options
Option D
Bunuel
27 Dec 2025, 06:30
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We know that,
55% spent less than 140 minutes
69% spent more than 90 mins
21% commuted exactly 90 mins
7% commuted exactly 92 mins
7% commuted exactly 115 mins
7% commuted exactly 138 mins
7% commuted exactly 140 mins
We need to know the median daily commuting time
This can be found if we arrange all the commutes in ascending order and check out the median
Since,
69% spend more than 90 and 21% spend exactly 90
=> 10% spend less than 90 mins
55% spend more than 140 and 7% spend exactly 140
=> 38% lesser than 140 mins commuting
Now lets assemble these in order
<90 -> 10%
90 -> 21 %
92 -> 7 %
115 -> 7 %
138 -> 7 %
(138,140) -> 3%
140 -> 7 %
> 140 -> 38 %
Median is at 50th percentile, and if we add the above percentile to 138, we get 52% and 138 takes 7% so, 138 falls under the 50th percentile
D. 138
55% spent less than 140 minutes
69% spent more than 90 mins
21% commuted exactly 90 mins
7% commuted exactly 92 mins
7% commuted exactly 115 mins
7% commuted exactly 138 mins
7% commuted exactly 140 mins
We need to know the median daily commuting time
This can be found if we arrange all the commutes in ascending order and check out the median
Since,
69% spend more than 90 and 21% spend exactly 90
=> 10% spend less than 90 mins
55% spend more than 140 and 7% spend exactly 140
=> 38% lesser than 140 mins commuting
Now lets assemble these in order
<90 -> 10%
90 -> 21 %
92 -> 7 %
115 -> 7 %
138 -> 7 %
(138,140) -> 3%
140 -> 7 %
> 140 -> 38 %
Median is at 50th percentile, and if we add the above percentile to 138, we get 52% and 138 takes 7% so, 138 falls under the 50th percentile
D. 138
27 Dec 2025, 06:41
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If 55% less than 140 and 69% greater than 90, then 24% (69+55-100) greater than 90 and less than 140.
This 24% is distributed among 7% of 92, 7% of 115, 7% of 138 and another 3% unknown.
If 24% greater than 90 and less than 140, then 31% (55-24) less than or equal to 90.
Median will be the number of minutes when the cumulative percentage is 50%:
less than or equal to 90: 31%
less than or equal to 92: 38% (31+7)
less than or equal to 115: 45% (38+7)
less than or equal to 138: 52% (45+7), greater than 50%
And no matter what reported the 3% unknown, the median is still 138 minutes because 45 + 3(if unknown is <138) = 48% < 50%.
The correct answer is D
This 24% is distributed among 7% of 92, 7% of 115, 7% of 138 and another 3% unknown.
If 24% greater than 90 and less than 140, then 31% (55-24) less than or equal to 90.
Median will be the number of minutes when the cumulative percentage is 50%:
less than or equal to 90: 31%
less than or equal to 92: 38% (31+7)
less than or equal to 115: 45% (38+7)
less than or equal to 138: 52% (45+7), greater than 50%
And no matter what reported the 3% unknown, the median is still 138 minutes because 45 + 3(if unknown is <138) = 48% < 50%.
The correct answer is D
